Araştırma Makalesi

The Geometry of Ribbons

Cilt: 6 Sayı: 1 30 Nisan 2021
PDF İndir
EN

The Geometry of Ribbons

Öz

In this study, the representations of the ribbons in the 3-dimensional Euclidean space as the developable ruled surface are given. However, by calculating the average curvature of the ribbon surface, the results regarding the mean curvature according to the character of the centerline were obtained. In addition, examples supporting these results are given.

Anahtar Kelimeler

Kaynakça

  1. Referans1 Alegre P, Arslan K, Carriazo A, Murathan C and Öztürk G. Some Special Types of Developable Ruled Surface. Hacettepe Journal of Mathematics and Statics. 39(3), 2010, 319-325.
  2. Referans2 Armon S, Aharoni H, Moshe M and Sharon E. Shape selection in chiral ribbons: from seed pods to supramolecular assemblie. Soft Matter. 10, 2014, 2733-2740.
  3. Referans3 Bohr J and Markvorsen S. Ribbon Crystals. Plos One. 8(10), 2013, 1-7.
  4. Referans4 Chen BY. When does the position vector of a space curve always lie in its rectifying plane?. The American Mathematical Monthly. 110(2), 2003, 147-152.
  5. Referans5 Charrondi\`{e}re R, Descoubes F-B, Neukirch S, Romero V. Numerical modeling of inextensible elastic ribbons with curvature-based elements. Computer Methods in Applied Mechanics and Engineering. 364, 2020, 1-24.
  6. Referans6 Gray A. Modern Differential Geometry of Curves and Surfaces. Boca Raton. FL, CRC Press, 1993.
  7. Referans7 Izumiya S and Takeuchi N. New special curves and developable surfaces. Turkish Journal of Mathematics. 28(2), 2004, 153-164.
  8. Referans8 Izumiya S and Takeuchi N. Special curves and ruled surfaces. Contributions to Algebra and Geometry. 44(1), 2003, 200-212.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Nisan 2021

Gönderilme Tarihi

5 Mart 2021

Kabul Tarihi

24 Mart 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 6 Sayı: 1

Kaynak Göster

APA
Arslan, K., Öztürk, G., & Bulca, B. (2021). The Geometry of Ribbons. Turkish Journal of Science, 6(1), 36-44. https://izlik.org/JA73DL42MC
AMA
1.Arslan K, Öztürk G, Bulca B. The Geometry of Ribbons. TJOS. 2021;6(1):36-44. https://izlik.org/JA73DL42MC
Chicago
Arslan, Kadri, Günay Öztürk, ve Betül Bulca. 2021. “The Geometry of Ribbons”. Turkish Journal of Science 6 (1): 36-44. https://izlik.org/JA73DL42MC.
EndNote
Arslan K, Öztürk G, Bulca B (01 Nisan 2021) The Geometry of Ribbons. Turkish Journal of Science 6 1 36–44.
IEEE
[1]K. Arslan, G. Öztürk, ve B. Bulca, “The Geometry of Ribbons”, TJOS, c. 6, sy 1, ss. 36–44, Nis. 2021, [çevrimiçi]. Erişim adresi: https://izlik.org/JA73DL42MC
ISNAD
Arslan, Kadri - Öztürk, Günay - Bulca, Betül. “The Geometry of Ribbons”. Turkish Journal of Science 6/1 (01 Nisan 2021): 36-44. https://izlik.org/JA73DL42MC.
JAMA
1.Arslan K, Öztürk G, Bulca B. The Geometry of Ribbons. TJOS. 2021;6:36–44.
MLA
Arslan, Kadri, vd. “The Geometry of Ribbons”. Turkish Journal of Science, c. 6, sy 1, Nisan 2021, ss. 36-44, https://izlik.org/JA73DL42MC.
Vancouver
1.Kadri Arslan, Günay Öztürk, Betül Bulca. The Geometry of Ribbons. TJOS [Internet]. 01 Nisan 2021;6(1):36-44. Erişim adresi: https://izlik.org/JA73DL42MC